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Finding the Fourth Proportional to 908.86, 1,253.69 and 572.22

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Solution

The fourth proportional to 908.86, 1,253.69 and 572.22 is: 789.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.86 : 1,253.69 = 572.22 : x
  2. Step 2: Convert to fraction form
    908.86/1,253.69 = 572.22/x
  3. Step 3: Cross multiply
    908.86x = 1,253.69 × 572.22
  4. Step 4: Simplify right side
    908.86x = 717,386.49
  5. Step 5: Solve for x
    x = 717,386.49/908.86
  6. Step 6: Final answer
    x = 789.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.